7 papers · 1 filter
On the interior structure of exterior algebra
I. V. Bayak
It is constructed the functor from category of product linear space to category of skew-symmetric tensor space. It is defined and described the bound bundle as analog of a symplex…
On some mathematical construction of many-dimensional cosmos
I. V. Bayak
It is shown that classical Clifford algebras are group algebras of cyclic subgroups of arrowy rermutations. It is established that Euclidean 3-space, Pauli and Dirac algebras and g…
On the rigid algebraic structure of Euclidean spaces
I. V. Bayak
It is shown that the groups of automorphisms of Euclidean spaces are isomorphic to the groups of topologic automorphisms of respectively factored arithmetic spaces. In particular,…
On the generation of linear groups by combinatoric groups
I. V. Bayak
It is described the group of arrowy permutations (that is extension of symmetric group) and the consequent process of generation of GL(n) and some its subgroups by this combinatori…
On the quantum model of gravitational electrodynamics
I. V. Bayak
It is shown that application of dynamic flows concept in 4-dimensional Euclidean space makes possible to form Minkowski space and to formulate the generalized variational problem o…
On the dynamic flows
I. V. Bayak
It is investigated a possibility of physical interpretation of vector fields (dynamic flows) in Euclidean spaces of higher dimension. There are analyzed the methods of measurements…